{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as stats\n",
    "\n",
    "def plot_model_means_with_ci(mean_values, se_values, model_labels, xdown, xup, filename, confidence_level=0.90):\n",
    "    \"\"\"\n",
    "    Plots mean values with 90% confidence intervals for different models.\n",
    "\n",
    "    Parameters:\n",
    "    - mean_values: Array-like, the mean values for each model.\n",
    "    - se_values: Array-like, the standard error values for each model.\n",
    "    - model_labels: Array-like, labels for each model.\n",
    "    - confidence_level: Float, the confidence level for the intervals (default is 0.90).\n",
    "\n",
    "    Returns:\n",
    "    - None\n",
    "    \"\"\"\n",
    "    # Convert lists to numpy arrays for mathematical operations\n",
    "    mean_values = np.array(mean_values)\n",
    "    se_values = np.array(se_values)\n",
    "\n",
    "    # Calculate z-score for the given confidence level\n",
    "    z = 1.645 if confidence_level == 0.90 else stats.norm.ppf(1 - (1 - confidence_level) / 2)\n",
    "\n",
    "    # Calculate the confidence intervals\n",
    "    ci_lower = mean_values - z * se_values\n",
    "    ci_upper = mean_values + z * se_values\n",
    "\n",
    "    # Plotting\n",
    "    #plt.figure(figsize=(3, 1.5))  # Set figure size to 6x2 inches\n",
    "    plt.figure(figsize=(6, 2))  # Set figure size to 6x2 inches\n",
    "\n",
    "    # Plot mean values as black dots and confidence intervals as black lines\n",
    "    for i, label in enumerate(model_labels):\n",
    "        plt.errorbar(mean_values[i], i, xerr=z * se_values[i], fmt='o', color='black', capsize=5, label=f'{label} (Mean ± CI)')\n",
    "\n",
    "    # Additional plot settings\n",
    "    plt.xlabel('Deviance')\n",
    "    plt.ylabel('model')\n",
    "    plt.yticks(ticks=np.arange(len(model_labels)), labels=model_labels)\n",
    "    plt.ylim(-0.5, len(model_labels) - 0.5)  # Adjust y-axis limits to reduce distance between lines\n",
    "    plt.axvline(x=0, color='grey', linestyle='--', linewidth=0.7)  # Optional: vertical line at zero\n",
    "    plt.grid(True, axis='x', linestyle='--', linewidth=0.7)\n",
    "    plt.subplots_adjust(bottom=0.35)\n",
    "    \n",
    "    # Set x-axis limits\n",
    "    plt.xlim(xdown, xup)\n",
    "\n",
    "    plt.savefig(filename, format='pdf')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting WAIC values from rethinking's compare function\n",
    "mean_values_m1 = [6035.0, 8337.0, 6032.7]\n",
    "se_values_m1 = [110.98, 108.24, 111.12]\n",
    "\n",
    "mean_values_m2 = [6309.1, 6307.1, 12521.3] \n",
    "se_values_m2 = [112.33, 112.35, 123.02]\n",
    "\n",
    "mean_values_m3 = [6278.8, 8540.3, 12511.0] \n",
    "se_values_m3 = [108.88, 108.64, 119.61]\n",
    "\n",
    "mean_values_real = [10121.0, 11328.5, 12849.2, 13325.3]\n",
    "se_values_real = [135.42, 132.88, 131.71, 133.15]\n",
    "\n",
    "mean_values_coll = [5747.2, 6278.8]\n",
    "se_values_coll = [110.66, 108.88]\n",
    "\n",
    "model_labels = [r'$m_3$', r'$m_2$', r'$m_1$']\n",
    "model_labels_conf = [r'$m_4$', r'$m_3$', r'$m_2$', r'$m_1$']\n",
    "model_labels_coll = [r'$m_c$', r'$m_3$']\n",
    "\n",
    "# Plotting\n",
    "plot_model_means_with_ci(mean_values_m1, se_values_m1, model_labels, 5800, 13000, 'WAIC_m1.pdf')\n",
    "plot_model_means_with_ci(mean_values_m2, se_values_m2, model_labels, 5800, 13000, 'WAIC_m2.pdf')\n",
    "plot_model_means_with_ci(mean_values_m3, se_values_m3, model_labels, 5800, 13000, 'WAIC_m3.pdf')\n",
    "plot_model_means_with_ci(mean_values_real, se_values_real, model_labels_conf, 9800, 14000, 'WAIC_real.pdf')\n",
    "\n",
    "plot_model_means_with_ci(mean_values_coll, se_values_coll, model_labels_coll, 5400, 7100, 'WAIC_coll.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot the posterior predictive plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rpy2.robjects as robjects\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "from common_tools import r_import_tool as r_in"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "robjects.r['load']('./data/model_postpredictdist_out.RData')\n",
    "\n",
    "postpredict_data = r_in.import_rdata('postpredict',1,'postpredict')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Posterior Predictive Plots\n",
    "palette = sns.color_palette(\"light:b\")\n",
    "custom = {\"grid.linestyle\": \"dashed\", \"grid.color\": \"lightgrey\"}\n",
    "sns.set_theme(style=\"ticks\", rc = custom)\n",
    "\n",
    "def plot_postpredict(data, colour, file_name, marker_size=20):\n",
    "      # Create the plot\n",
    "      plt.figure(figsize=(2.5, 2.5))\n",
    "      sns.scatterplot(x='Observed C_MW', y='Predicted C_MW', data=data, color=colour, s=10)\n",
    "      plt.ylim(np.min(postpredict_data.m1_pi), np.max(postpredict_data.m1_pi))\n",
    "      plt.xlabel('Observed $C_{MW}$')\n",
    "      plt.ylabel('Predicted $C_{MW}$')\n",
    "      plt.plot([min(postpredict_data.C_MW), max(postpredict_data.C_MW)], \n",
    "            [min(postpredict_data.C_MW), max(postpredict_data.C_MW)], 'k--')\n",
    "            \n",
    "      # Set plot limits\n",
    "      #plt.xlim([1, 5])\n",
    "      #plt.ylim([1, 5])\n",
    "      \n",
    "      # Set custom x-ticks and y-ticks\n",
    "      plt.xticks([2, 3, 4])\n",
    "      plt.yticks([2, 3, 4])\n",
    "\n",
    "      # Save the plot\n",
    "      plt.grid(\"True\")\n",
    "      plt.subplots_adjust(bottom=0.2)\n",
    "      plt.subplots_adjust(left=0.2)\n",
    "      plt.savefig(file_name, format='pdf')\n",
    "      plt.show()\n",
    "      \n",
    "      \n",
    "# Create a DataFrame to hold the data\n",
    "data_m1 = pd.DataFrame({\n",
    "    'Observed C_MW': postpredict_data.C_MW,\n",
    "    'Predicted C_MW': postpredict_data.m1_mean,\n",
    "})\n",
    "data_m2 = pd.DataFrame({\n",
    "    'Observed C_MW': postpredict_data.C_MW,\n",
    "    'Predicted C_MW': postpredict_data.m2_mean,\n",
    "})\n",
    "data_m3 = pd.DataFrame({\n",
    "    'Observed C_MW': postpredict_data.C_MW,\n",
    "    'Predicted C_MW': postpredict_data.m3_mean,\n",
    "})\n",
    "data_m4 = pd.DataFrame({\n",
    "    'Observed C_MW': postpredict_data.C_MW,\n",
    "    'Predicted C_MW': postpredict_data.m4_mean,\n",
    "})\n",
    "\n",
    "plot_postpredict(data_m1, palette[1], 'postpredict_m1.pdf')\n",
    "plot_postpredict(data_m2, palette[2], 'postpredict_m2.pdf')\n",
    "plot_postpredict(data_m3, palette[3], 'postpredict_m3.pdf')\n",
    "plot_postpredict(data_m4, palette[5], 'postpredict_m4.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Posterior Distributions for C_MW\n",
    "\n",
    "palette = sns.color_palette(\"light:b\")\n",
    "custom = {\"grid.linestyle\": \"dashed\", \"grid.color\": \"lightgrey\"}\n",
    "sns.set_theme(style=\"ticks\", rc = custom)\n",
    "\n",
    "def plot_probability_distributions(data_m1, data_m2, data_m3, data_m4, data_CMW, palette):\n",
    "\n",
    "    plt.figure(figsize=(6, 2.5))\n",
    "    \n",
    "    sns.kdeplot(data=data_m1, label='Model $m_1$', fill=True, color=palette[1])\n",
    "    sns.kdeplot(data=data_m2, label='Model $m_2$', fill=True, color=palette[2])\n",
    "    sns.kdeplot(data=data_m3, label='Model $m_3$', fill=True, color=palette[3])\n",
    "    sns.kdeplot(data=data_m4, label='Model $m_4$', fill=True, color=palette[5])\n",
    "    sns.kdeplot(data=data_CMW, label='Observed', fill=True, color='darkgreen')\n",
    "    \n",
    "    plt.xlabel('$C_{MW}$')\n",
    "    plt.ylabel('Probability Density')\n",
    "    plt.subplots_adjust(bottom=0.25)\n",
    "    plt.legend()\n",
    "    plt.grid(\"True\")\n",
    "    plt.savefig('prop_densities.pdf', format='pdf')\n",
    "    plt.show()\n",
    "    \n",
    "plot_probability_distributions(postpredict_data.m1_mean, postpredict_data.m2_mean, postpredict_data.m3_mean,postpredict_data.m4_mean, postpredict_data.C_MW, palette)\n",
    "\n",
    "      "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "mercury",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
